Table 7.

Notations in our study.

Notations	Definitions of notations
$A=\{A_1,A_i,\cdots ,A_m\},0<i<m$	The set of alternatives; Ai represents alternative i; m alternatives
$C=\{C_1,C_j,\cdots ,C_n\},0<j<h<n$	The set of criteria; Cj represents alternative j; n criteria
$\alpha =\{{\alpha }_1,{\alpha }_k,\cdots ,{\alpha }_p\},0<k<p$	The set of DMs; ${\alpha }_k$ represents DM k; p DMs
$R^k$	Individual IF-decision matrix of ${\alpha }_k$
$E^{\mathit{IFS}}\left(R^k\right)$	The entropy value of ${\alpha }_k$
$d_{R^k}$	The degree of divergence
$w_d^k$	The weight of ${\alpha }_k$
$w_d=\left\{w_d^1,w_d^2,\dots ,w_d^p\right\}$	Set of DMs weights
${\text{a}}_{B\text{j}}$	The preference of the most important criteria B over the criteria j
$A_B$	Best-to-others vector
$A_W$	Other-to-worst vector
${\text{a}}_{\text{jW}}$	The preference of criteria j over the worst criteria W
${\xi }^{\ast }$	Minimum value of objective function
$w_s=\left\{w_s^1,w_s^2,\dots ,w_s^n\right\}$	The set of subjective criteria weights
$E^{\mathit{IFS}}\left(\overline{r_j}\right)\left(j=1,2,\dots n\right)$	The entropy value of Cj
$d_j(j=1,2,\dots ,n)$	The degree of divergence
${\omega }_o^j\left(\text{j}=1,2,...n\right)$	Objective weight of Cj
$w_o=\left\{w_o^1,w_{\text{o}}^2,\dots ,w_o^n\right\}$	The set of objective criterion weights
$\stackrel{\sim }{R}$	The integrated weighting intuitionistic fuzzy decision matrix integrated wc and wd
$S\left(a\right)$	Score function
$X^{+}=\left(x_1^{+},x_2^{+},...,x_{\text{n}}^{+}\right)$	The set of positive ideal solutions
$X^{-}=\left(x_1^{-},x_2^{-},\dots ,x_{\text{n}}^{-}\right)$	The set of negative ideal solutions
$S_i$	Group utility value of alternative i
$R_i$	Individual regret value of alternative i
$Q_i$	Trade-off evaluation value of alternative i
$w_{\text{c}}\text{=}\left\{w_{\text{c}}^1,w_{\text{c}}^2,...w_{\text{c}}^{\text{n}}\right\}$	The set of final criterion weights